On a sharper form of half-discrete Hilbert inequality

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Published: Mar 30, 2014
DOI: https://doi.org/10.5556/j.tkjm.45.2014.1356
Keywords:
Hilbert's inequality Cauchy's Inequality

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Laith Emil Azar
al al-Bayt University

Abstract

In this paper we introduce a general inequality by using the half-discrete Hilbert inequality. As an application we give a sharper form of the half-discrete Hilbert inequality and some carlson's type inequalities.

Article Details

How to Cite
Azar, L. E. (2014). On a sharper form of half-discrete Hilbert inequality. Tamkang Journal of Mathematics, 45(1), 77–85. https://doi.org/10.5556/j.tkjm.45.2014.1356
Issue
Vol. 45 No. 1 (2014)
Section
Papers
Author Biography

Laith Emil Azar, al al-Bayt University

Department ofMathematics, Al al-Bayt University, P.O. Box: 130095 Mafraq, Jordan

References

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L. E. Azar, A relation between Hilbert and Carlson inequalities, Journal of Inequalities and Applications, 2012, 2012:277.

L. Larsson, L. Maligranda, J. Pecaric and L. E. Persson,

Multiplicative Inequalities of Carlson Type and Interpolation, World Scientific Publication co. Pty. Hackensack, NJ, 2006.